List of quantum-mechanical potentials

This is a list of potential energy functions that are frequently used in quantum mechanics and have any meaning.

One-dimensional potentials

• Square potential
• Step potential
• Triangular potential well
• Delta potential (aka "contact potential")
• Barrier potential
• Morse potential
• Morse/Long-range potential
• Rosen–Morse potential
• Trigonometric Rosen–Morse potential
• Pöschl–Teller potential (there are two types)
• Gaussian potential
• Eckart potential

Oscillators

• Harmonic potential (harmonic oscillator)
• Morse potential (morse oscillator)
• Morse/Long-range potential (Morse/Long-range oscillator)
• Kratzer potential (Kratzer oscillator)

Miscellaneous

• Lennard-Jones potential
• Kolos–Wolniewicz potential
• Coulomb potential